Question

A car accelerates uniformly from rest to a velocity of \( 25 \, \text{m/s} \) in \( 10 \, \text{seconds} \). What is the acceleration of the car?

• A. \( 2.5 \, \text{m/s}^2 \)
• B. \( 5 \, \text{m/s}^2 \)
• C. \( 10 \, \text{m/s}^2 \)
• D. \( 15 \, \text{m/s}^2 \)

Hint:

Remember: The equation \( v = u + at \) is useful for uniformly accelerated motion, especially when the initial velocity is zero.

Answer 1

The Correct Option is B

Step 1: Use the equation of motion for acceleration The equation for acceleration when an object starts from rest is: \[ v = u + at \] where: - \( v \) is the final velocity, - \( u \) is the initial velocity, - \( a \) is the acceleration, - \( t \) is the time taken. Since the car starts from rest, \( u = 0 \). Step 2: Substitute the given values Given: - Final velocity \( v = 25 \, \text{m/s} \), - Initial velocity \( u = 0 \, \text{m/s} \), - Time \( t = 10 \, \text{seconds} \). Substitute these values into the equation: \[ 25 = 0 + a \times 10 \] \[ a = \frac{25}{10} = 2.5 \, \text{m/s}^2 \] Answer: Therefore, the acceleration of the car is \( 2.5 \, \text{m/s}^2 \). So, the correct answer is option (1).